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Finding the Fourth Proportional to 461,958, 692,937 and 111,750

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Solution

The fourth proportional to 461,958, 692,937 and 111,750 is: 167,625

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,958 : 692,937 = 111,750 : x
  2. Step 2: Convert to fraction form
    461,958/692,937 = 111,750/x
  3. Step 3: Cross multiply
    461,958x = 692,937 × 111,750
  4. Step 4: Simplify right side
    461,958x = 77,435,709,750
  5. Step 5: Solve for x
    x = 77,435,709,750/461,958
  6. Step 6: Final answer
    x = 167,625

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.